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Finding the Fourth Proportional to 512,346.95, 768,124.46 and 192,492.05

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Solution

The fourth proportional to 512,346.95, 768,124.46 and 192,492.05 is: 288,589.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,346.95 : 768,124.46 = 192,492.05 : x
  2. Step 2: Convert to fraction form
    512,346.95/768,124.46 = 192,492.05/x
  3. Step 3: Cross multiply
    512,346.95x = 768,124.46 × 192,492.05
  4. Step 4: Simplify right side
    512,346.95x = 147,857,853,326.58
  5. Step 5: Solve for x
    x = 147,857,853,326.58/512,346.95
  6. Step 6: Final answer
    x = 288,589.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.